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Popular >

simplify (5+2i)(3-2i)

Solution

simplify

(5 + 2 i) (3 - 2 i)

Solution

19 - 4 i

Solution steps

(5 + 2 i) (3 - 2 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (5 \cdot 3 - 2 (- 2)) + (5 (- 2) + 2 \cdot 3) i

Simplify

(5 \cdot 3 - 2 (- 2)) + (5 (- 2) + 2 \cdot 3) i : 19 - 4 i

= 19 - 4 i

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Frequently Asked Questions (FAQ)

What is (5+2i)(3-2i) ?
The solution to (5+2i)(3-2i) is 19-4i